The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

published:04 Feb 2013

views:900146

Learn about fundamental theorem of arithmetic in hindi for ncert/cbse 10th class maths.

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

published:28 Mar 2012

views:391042

FUNDAMENTAL THEOREM OF HOMOMORPHISM WITH STATEMENT , PROOF AND EXPLANATION.

published:05 Mar 2018

views:9562

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

published:26 Mar 2014

views:213933

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :)
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
For more free math videos, visit http://PatrickJMT.com

What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

published:02 Nov 2016

views:49918

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

Khan Academy

Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.

In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.

Fundamental theorem

The fundamental theorem of a field of mathematics is the theorem considered central to that field. The naming of such a theorem is not necessarily based on how often it is used or the difficulty of its proofs.

The names are mostly traditional, so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory.

The mathematical literature sometimes refers to the fundamental lemma of a field. The term lemma is conventionally used to denote a proven proposition which is used as a stepping stone to a larger result rather than as a useful statement in-and-of itself. The fundamental lemma of a field is often, but not always, the same as the fundamental theorem of that field.

Academy 360

Pennywell Comprehensive School was built in 1967, however in 2008 the school converted to academy status and was renamed Academy 360. In the same year the school relocated to a new building on the same site, with the old building being demolished. Academy is sponsored by Sunderland City Council, Sir Bob Murray and the Gentoo social housing group.

Academy 360 offers GCSEs and BTECs as programmes of study for pupils. Most graduating students go on to attend Sunderland College which acts as the school’s partner further education provider. Academy 360 also operates 'The Achievement Centre' which offers alternative education for small numbers of pupils from across Sunderland.

Fundamental frequency

The fundamental frequency, often referred to as simply as the fundamental, is defined as the lowest frequency of a periodicwaveform. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. In terms of a superposition of sinusoids (e.g. Fourier series), the fundamental frequency is the lowest frequency sinusoidal in the sum. In some contexts, the fundamental is usually abbreviated as f0 (or FF), indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as f1, the first harmonic. (The second harmonic is then f2 = 2⋅f1, etc. In this context, the zeroth harmonic would be 0Hz.)

Explanation

All sinusoidal and many non-sinusoidal waveforms are periodic, which is to say they repeat exactly over time. A single period is thus the smallest repeating unit of a signal, and one period describes the signal completely. We can show a waveform is periodic by finding some period T for which the following equation is true:

Fundamental (Puya album)

Fundamental is the debut studio album by Puerto Rican rock band Puya, and their first released on an international label (MCA.) The album was released in 1999. Music compositions and lyrics by Ramon Ortiz and Harold Hopkins Miranda.

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

21:31

FUNDAMENTAL THEOREM OF HOMOMORPHISMS {ALGEBRA}

FUNDAMENTAL THEOREM OF HOMOMORPHISMS {ALGEBRA}

FUNDAMENTAL THEOREM OF HOMOMORPHISMS {ALGEBRA}

FUNDAMENTAL THEOREM OF HOMOMORPHISM WITH STATEMENT , PROOF AND EXPLANATION.

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

9:26

Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :)
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
For more free math videos, visit http://PatrickJMT.com

Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8

Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8

Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8

What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

11:30

Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

4:49

Fundamental theory of spintronics

Fundamental theory of spintronics

Fundamental theory of spintronics

[Keio Spintronics Network - Miyake Laboratory , Osaka University]
Professor Kohno at Osaka University is doing theoretical research on spintronics, from the viewpoint of fundamental physics.
Spintronics uses both the charge and spin of electrons in solids, to achieve electronic devices with new capabilities. Research on spintronics is currently very vigorous worldwide.
Q. "Usually, the aim of spintronics research is to apply it in industry. But I'm studying spintronics theoretically, from the viewpoint of fundamental physics. Specifically, I'm studying phenomena that properties of magnets are manipulated by electric currents, and conversely, dynamical information about magnetization is converted to electrical signals and detected."
The impetus for this research came from an experiment on current-driven domain wall motion.
In that experiment, a magnetic domain wall was moved by a current passing through a wire made of ferromagnetic material. Professor Kohno attempted to explain this experiment theoretically.
Q. "We derived an equation of motion of a domain wall under an applied current. The equation revealed that there are two mechanisms that drives domain walls."
These two mechanisms are spin transfer and momentum transfer. Professor Kohno devised a theory of these mechanisms from the microscopic viewpoint. He also generalized this theory to situations other than domain walls. The equations Professor Kohno obtained led to the idea of driving magnetic vortices by currents, which he suggested to experimenters.
Q. "By attaching leads to a magnetic disk which contains a vortex and passing a current through them, experimenters have succeeded in exciting the vortex core motion, and detecting this motion electrically."
In addition, it's been discovered that, if the current is increased, the orientation of the core can be reversed electrically.
Q. "Next, I calculated theoretically the effects that currents have on general magnetic structures, including domain walls, vortices and all others. The magnetization follows an equation of motion of this form. When there's interaction with the conduction electrons, another term is added to the equation. This is the magnetization, and this is the spin of conduction electrons, and their cross product affects the motion of magnetization. In other words, it acts as a torque. We can derive the effective torques by eliminating conduction electrons. In particular, these alpha and beta terms come from a rather delicate process called spin relaxation, which has to be handled rather precisely. We are constructing a theoretical framework that can treat such effects."
Q. "We're also investigating the inverse effect of spin torque, that is, the effect that magnetization dynamics has on electrons. Suppose a domain wall is driven by, e.g., magnetic field and is in motion. It's been proposed that then an electromotive force is generated. We are also studying this effect theoretically, by including spin relaxation effects, and gauge invariance. This phenomenon itself can be regarded as a mean to convert the information about magnetization dynamics into electrical signals. However, this effect is very small, and detecting it is an experimental challenge. Success has been achieved only recently; In 2008, a group in Texas detected the effect using magnetic domain walls."

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-int...

FUNDAMENTAL THEOREM OF HOMOMORPHISMS {ALGEBRA}

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear...

published: 26 Mar 2014

Fundamental Theorem of Calculus Part 1

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :)
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
For more free math videos, visit http://PatrickJMT.com

Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8

What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stu...

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

published: 02 Nov 2016

Fundamental Theorem of Calculus Part 1

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

published: 10 Mar 2018

Fundamental theory of spintronics

[Keio Spintronics Network - Miyake Laboratory , Osaka University]
Professor Kohno at Osaka University is doing theoretical research on spintronics, from the viewpoint of fundamental physics.
Spintronics uses both the charge and spin of electrons in solids, to achieve electronic devices with new capabilities. Research on spintronics is currently very vigorous worldwide.
Q. "Usually, the aim of spintronics research is to apply it in industry. But I'm studying spintronics theoretically, from the viewpoint of fundamental physics. Specifically, I'm studying phenomena that properties of magnets are manipulated by electric currents, and conversely, dynamical information about magnetization is converted to electrical signals and detected."
The impetus for this research came from an e...

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/...

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/...

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Fundamental Theorem of Calculus Part 1

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and plea...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :)
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
For more free math videos, visit http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :)
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
For more free math videos, visit http://PatrickJMT.com

What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice ...

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

Fundamental Theorem of Calculus Part 1

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the defin...

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

[Keio Spintronics Network - Miyake Laboratory , Osaka University]
Professor Kohno at Osaka University is doing theoretical research on spintronics, from the viewpoint of fundamental physics.
Spintronics uses both the charge and spin of electrons in solids, to achieve electronic devices with new capabilities. Research on spintronics is currently very vigorous worldwide.
Q. "Usually, the aim of spintronics research is to apply it in industry. But I'm studying spintronics theoretically, from the viewpoint of fundamental physics. Specifically, I'm studying phenomena that properties of magnets are manipulated by electric currents, and conversely, dynamical information about magnetization is converted to electrical signals and detected."
The impetus for this research came from an experiment on current-driven domain wall motion.
In that experiment, a magnetic domain wall was moved by a current passing through a wire made of ferromagnetic material. Professor Kohno attempted to explain this experiment theoretically.
Q. "We derived an equation of motion of a domain wall under an applied current. The equation revealed that there are two mechanisms that drives domain walls."
These two mechanisms are spin transfer and momentum transfer. Professor Kohno devised a theory of these mechanisms from the microscopic viewpoint. He also generalized this theory to situations other than domain walls. The equations Professor Kohno obtained led to the idea of driving magnetic vortices by currents, which he suggested to experimenters.
Q. "By attaching leads to a magnetic disk which contains a vortex and passing a current through them, experimenters have succeeded in exciting the vortex core motion, and detecting this motion electrically."
In addition, it's been discovered that, if the current is increased, the orientation of the core can be reversed electrically.
Q. "Next, I calculated theoretically the effects that currents have on general magnetic structures, including domain walls, vortices and all others. The magnetization follows an equation of motion of this form. When there's interaction with the conduction electrons, another term is added to the equation. This is the magnetization, and this is the spin of conduction electrons, and their cross product affects the motion of magnetization. In other words, it acts as a torque. We can derive the effective torques by eliminating conduction electrons. In particular, these alpha and beta terms come from a rather delicate process called spin relaxation, which has to be handled rather precisely. We are constructing a theoretical framework that can treat such effects."
Q. "We're also investigating the inverse effect of spin torque, that is, the effect that magnetization dynamics has on electrons. Suppose a domain wall is driven by, e.g., magnetic field and is in motion. It's been proposed that then an electromotive force is generated. We are also studying this effect theoretically, by including spin relaxation effects, and gauge invariance. This phenomenon itself can be regarded as a mean to convert the information about magnetization dynamics into electrical signals. However, this effect is very small, and detecting it is an experimental challenge. Success has been achieved only recently; In 2008, a group in Texas detected the effect using magnetic domain walls."

[Keio Spintronics Network - Miyake Laboratory , Osaka University]
Professor Kohno at Osaka University is doing theoretical research on spintronics, from the viewpoint of fundamental physics.
Spintronics uses both the charge and spin of electrons in solids, to achieve electronic devices with new capabilities. Research on spintronics is currently very vigorous worldwide.
Q. "Usually, the aim of spintronics research is to apply it in industry. But I'm studying spintronics theoretically, from the viewpoint of fundamental physics. Specifically, I'm studying phenomena that properties of magnets are manipulated by electric currents, and conversely, dynamical information about magnetization is converted to electrical signals and detected."
The impetus for this research came from an experiment on current-driven domain wall motion.
In that experiment, a magnetic domain wall was moved by a current passing through a wire made of ferromagnetic material. Professor Kohno attempted to explain this experiment theoretically.
Q. "We derived an equation of motion of a domain wall under an applied current. The equation revealed that there are two mechanisms that drives domain walls."
These two mechanisms are spin transfer and momentum transfer. Professor Kohno devised a theory of these mechanisms from the microscopic viewpoint. He also generalized this theory to situations other than domain walls. The equations Professor Kohno obtained led to the idea of driving magnetic vortices by currents, which he suggested to experimenters.
Q. "By attaching leads to a magnetic disk which contains a vortex and passing a current through them, experimenters have succeeded in exciting the vortex core motion, and detecting this motion electrically."
In addition, it's been discovered that, if the current is increased, the orientation of the core can be reversed electrically.
Q. "Next, I calculated theoretically the effects that currents have on general magnetic structures, including domain walls, vortices and all others. The magnetization follows an equation of motion of this form. When there's interaction with the conduction electrons, another term is added to the equation. This is the magnetization, and this is the spin of conduction electrons, and their cross product affects the motion of magnetization. In other words, it acts as a torque. We can derive the effective torques by eliminating conduction electrons. In particular, these alpha and beta terms come from a rather delicate process called spin relaxation, which has to be handled rather precisely. We are constructing a theoretical framework that can treat such effects."
Q. "We're also investigating the inverse effect of spin torque, that is, the effect that magnetization dynamics has on electrons. Suppose a domain wall is driven by, e.g., magnetic field and is in motion. It's been proposed that then an electromotive force is generated. We are also studying this effect theoretically, by including spin relaxation effects, and gauge invariance. This phenomenon itself can be regarded as a mean to convert the information about magnetization dynamics into electrical signals. However, this effect is very small, and detecting it is an experimental challenge. Success has been achieved only recently; In 2008, a group in Texas detected the effect using magnetic domain walls."

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Independent realization from an ancestor's perspective
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Fundamental Theorem of Calculus Part 1

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
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Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.
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Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8

What is an integral? How do you think about it?
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This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.

Fundamental Theorem of Calculus Part 1

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
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Fundamental theory of spintronics

[Keio Spintronics Network - Miyake Laboratory , Osaka University]
Professor Kohno at Osaka University is doing theoretical research on spintronics, from the viewpoint of fundamental physics.
Spintronics uses both the charge and spin of electrons in solids, to achieve electronic devices with new capabilities. Research on spintronics is currently very vigorous worldwide.
Q. "Usually, the aim of spintronics research is to apply it in industry. But I'm studying spintronics theoretically, from the viewpoint of fundamental physics. Specifically, I'm studying phenomena that properties of magnets are manipulated by electric currents, and conversely, dynamical information about magnetization is converted to electrical signals and detected."
The impetus for this research came from an experiment on current-driven domain wall motion.
In that experiment, a magnetic domain wall was moved by a current passing through a wire made of ferromagnetic material. Professor Kohno attempted to explain this experiment theoretically.
Q. "We derived an equation of motion of a domain wall under an applied current. The equation revealed that there are two mechanisms that drives domain walls."
These two mechanisms are spin transfer and momentum transfer. Professor Kohno devised a theory of these mechanisms from the microscopic viewpoint. He also generalized this theory to situations other than domain walls. The equations Professor Kohno obtained led to the idea of driving magnetic vortices by currents, which he suggested to experimenters.
Q. "By attaching leads to a magnetic disk which contains a vortex and passing a current through them, experimenters have succeeded in exciting the vortex core motion, and detecting this motion electrically."
In addition, it's been discovered that, if the current is increased, the orientation of the core can be reversed electrically.
Q. "Next, I calculated theoretically the effects that currents have on general magnetic structures, including domain walls, vortices and all others. The magnetization follows an equation of motion of this form. When there's interaction with the conduction electrons, another term is added to the equation. This is the magnetization, and this is the spin of conduction electrons, and their cross product affects the motion of magnetization. In other words, it acts as a torque. We can derive the effective torques by eliminating conduction electrons. In particular, these alpha and beta terms come from a rather delicate process called spin relaxation, which has to be handled rather precisely. We are constructing a theoretical framework that can treat such effects."
Q. "We're also investigating the inverse effect of spin torque, that is, the effect that magnetization dynamics has on electrons. Suppose a domain wall is driven by, e.g., magnetic field and is in motion. It's been proposed that then an electromotive force is generated. We are also studying this effect theoretically, by including spin relaxation effects, and gauge invariance. This phenomenon itself can be regarded as a mean to convert the information about magnetization dynamics into electrical signals. However, this effect is very small, and detecting it is an experimental challenge. Success has been achieved only recently; In 2008, a group in Texas detected the effect using magnetic domain walls."

21. Fundamental Circuits with example

Khan Academy

Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.

In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.

With the vote Friday, which is expected to pass, the world’s top measurement scientists are affixing the kilogram to the Planck constant, a fundamental concept in quantum mechanics that can never, ever change — both here on Earth and in the deep reaches of the universe ... In theory, anyone can build a Kibble balance....

This story appears in the FUTURE ISSUE, the Nov. 19–26, 2018, edition of Sports Illustrated...Click here for more ... ... Johansen ... VRENTAS ... Instead of forcing his entire working theory upon his defense, he arms players with only a few fundamental techniques that they’ll need for the upcoming game—simple maneuvers they’ll rep over and over during practice....

China, at last, had embarked on a period of reforming its domestic economy based on the fundamental disciplines of price theory... That decision reflected the domestic consensus within this country on the best resolution of the tensions between the two traditions alive in modern Chinese economic theory and practice ... The continued role of regulation ... ....

Fundamental theory of spintronics...

21. Fundamental Circuits with example...

The theory of fundamental evil....

Latest News for: fundamental theory

With the vote Friday, which is expected to pass, the world’s top measurement scientists are affixing the kilogram to the Planck constant, a fundamental concept in quantum mechanics that can never, ever change — both here on Earth and in the deep reaches of the universe ... In theory, anyone can build a Kibble balance....

This story appears in the FUTURE ISSUE, the Nov. 19–26, 2018, edition of Sports Illustrated...Click here for more ... ... Johansen ... VRENTAS ... Instead of forcing his entire working theory upon his defense, he arms players with only a few fundamental techniques that they’ll need for the upcoming game—simple maneuvers they’ll rep over and over during practice....

China, at last, had embarked on a period of reforming its domestic economy based on the fundamental disciplines of price theory... That decision reflected the domestic consensus within this country on the best resolution of the tensions between the two traditions alive in modern Chinese economic theory and practice ... The continued role of regulation ... ....

In Search of a FundamentalTheory.” ... A resonance theory of consciousness ... Our resonance theory of consciousness attempts to provide a unified framework that includes neuroscience, as well as more fundamental questions of neurobiology and biophysics, and also the philosophy of mind....

While the idea is surreal, it's based on Albert Einstein'sTheory of Relativity – and understanding the ... 'This is generally very important to probe some extreme aspects of the universe, and the fundamental physics (for example, the theory of gravitation) related to them....

This year's event presented more than 400 leading internet scientific and technological achievements from China, the US, the UK, Germany, France, Russia and Canada, showing the latest technologies on fundamentaltheory, ......

Konstantinos “Duncan” Palamourdas uses a “John Wooden approach” when teaching poker strategy ... He does this in his basic and intermediate poker classes at UCLAExtension ... When Zappala understood that what he was teaching was fundamentally probability theory, he approved the class, Palamourdas said ... Alice values profit over fun ... ....

Deputy Governor Viral Acharya was among the earliest in the month of October to connect theory of market-wrath with autonomy ... Garg, in fact replied sarcastically on twitter to Acharya's theory. NS Viswanathan, another RBI Deputy Governor reminded economic fundamentals and the need for banks while delivering a lecture at XLRI Jamshedpur ... Also Read....

The divide in American politics is not merely over policy, or even identity, but something arguably more fundamental — the very idea that impartial rules and fair play are central to democratic governance ...Democracy, in theory, is based on the consent of the governed....

“Democracy requires showing up. Go Vote.”. Ahead of closely watched midterm elections that are widely seen as a referendum on PresidentDonald Trump’s agenda, consumer brands are promoting voter turnout like never before ... Why all this corporate attention to whether Americans exercise their most fundamental rights? One theory ... Sign up here. ....

Mountain View’s AronWall lives and breathes science, pondering fundamental insights about quantum field theory and gravity that have earned him this year’s prestigious BreakthroughNew Horizons in Physics Prize, to be awarded in a red-carpet ceremony at NASA Ames on Sunday ... Most of the famous universities are very string theory oriented....

The present lack of sample diversity and ecological theory in psychological science fundamentally limits generalizability and obstructs scientific progress. A focus on the role of socioecology in shaping the evolution of morphology, physiology, and behavior has not yet been widely applied toward psychology ... ....